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There are three cities A, B and C, not on the same straight road. Two buses P and Q start simultaneously from A and B respectively towards C. By the time Q reaches C, P is exactly halfway to C. Immediately after Q reaches C, it starts travelling towards A and it crosses P at a point 165 km from A. The ratio of the speeds of P and Q is 3 : 5 Assume that the roads joining A to C, B to C and B to A are all straight roads. If B is twice as far from A as it is from C and P would take to cover the distance from A to B, how much time would Q take to cover the distance from C to A?
(2016)
  • a)
  • b)
    3 hours
  • c)
  • d)
    4 hours
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
There are three cities A, B and C, not on the same straight road. Two ...
Let BC = 5 k
Given, by the time Q reaches C, P was halfway to C, i.e., AC/2 = 3k and AC = 6k.
As Q met P, 165 km away from A, the distance to the meeting point from A is 3k


∴ Distance between A and C is 240 km and that between B and C is 200 km.
From the data, as distance between A and B is twice that between B and C, it is 400 km.

∴ Time taken by Q to reach C from 
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Most Upvoted Answer
There are three cities A, B and C, not on the same straight road. Two ...
Let BC = 5 k
Given, by the time Q reaches C, P was halfway to C, i.e., AC/2 = 3k and AC = 6k.
As Q met P, 165 km away from A, the distance to the meeting point from A is 3k


∴ Distance between A and C is 240 km and that between B and C is 200 km.
From the data, as distance between A and B is twice that between B and C, it is 400 km.

∴ Time taken by Q to reach C from 
Free Test
Community Answer
There are three cities A, B and C, not on the same straight road. Two ...
Let BC = 5 k
Given, by the time Q reaches C, P was halfway to C, i.e., AC/2 = 3k and AC = 6k.
As Q met P, 165 km away from A, the distance to the meeting point from A is 3k


∴ Distance between A and C is 240 km and that between B and C is 200 km.
From the data, as distance between A and B is twice that between B and C, it is 400 km.

∴ Time taken by Q to reach C from 
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There are three cities A, B and C, not on the same straight road. Two buses P and Q start simultaneously from A and B respectivelytowards C. By the time Q reaches C, P is exactly halfway to C. Immediately after Q reaches C, it starts travelling towards A and itcrosses P at a point 165 km from A. The ratio of the speeds of P and Q is 3 : 5 Assume that the roads joining A to C, B to C and Bto A are all straight roads. If B is twice as far from A as it is from C and P would take to cover the distance from A to B, how muchtime would Q take to cover the distance from C to A?(2016)a)b)3 hoursc)d)4 hoursCorrect answer is option 'A'. Can you explain this answer?
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